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Seminar

Analytic Number Theory Seminar: The ranges of some familiar arithmetic functions March 07, 2017 (02:00 PM PST - 03:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Carl Pomerance (Dartmouth College)
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We consider 4 functions from elementary number theory: sigma (the sum-of-divisors function), phi (Euler's function), lambda (Carmichael's universal exponent function), and s (the sum-of-proper-divisors function). In particular we discuss the distribution of the values of these functions, and coincidences of values. Most of the problems considered have a fairly long history, some over 80 years. We report on recent progress. (Various parts of this work are joint with Kevin Ford, Florian Luca, Paul Pollack, and others.)

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